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Analytic Geometry2D

Polar Coordinates - Theory & Concepts - Analytic Geometry Polar Cartesian Conversion

Polar coordinate system, conversion between rectangular and polar, and graphing polar curves.

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Polar-Cartesian Conversion Visualizer

Interactively convert between rectangular coordinates $(x, y)$ and polar coordinates $(r, \theta)$

X-Coordinate4.00
Y-Coordinate3.00
Show Polar Grid Overlay
Coordinate Summary
Cartesian (x, y)(4.00, 3.00)
Polar (r, θ)(5.00, 36.9°)
Point P
Radius Conversion Formula ($r$)r=x2+y2=(4.00)2+(3.00)2=5.000r = \sqrt{x^2 + y^2} = \sqrt{(4.00)^2 + (3.00)^2} = 5.000
Angle Conversion Formula ($\\theta$)θ=atan2(y,x)=tan⁡−1(3.004.00)=36.87∘\theta = \text{atan2}(y, x) = \tan^{-1}\left(\frac{3.00}{4.00}\right) = 36.87^\circ

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